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114989072 = 24114713901
BaseRepresentation
bin1101101101010…
…01100000010000
322000101001100112
412312221200100
5213414122242
615224340452
72564251052
oct666514020
9260331315
10114989072
11599a9aa0
1232614728
131aa91193
14113b38d2
15a165c82
hex6da9810

114989072 has 40 divisors (see below), whose sum is σ = 248234112. Its totient is φ = 51152000.

The previous prime is 114989059. The next prime is 114989099. The reversal of 114989072 is 270989411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1322 + ... + 15222.

Almost surely, 2114989072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114989072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124117056).

114989072 is an abundant number, since it is smaller than the sum of its proper divisors (133245040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114989072 is a wasteful number, since it uses less digits than its factorization.

114989072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13967 (or 13961 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 41.

The square root of 114989072 is about 10723.2957620314. The cubic root of 114989072 is about 486.2790090698.

The spelling of 114989072 in words is "one hundred fourteen million, nine hundred eighty-nine thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 1034 2068 4136 8272 13901 27802 55604 111208 152911 222416 305822 611644 653347 1223288 1306694 2446576 2613388 5226776 7186817 10453552 14373634 28747268 57494536 114989072